201101122121011 has 16 divisors (see below), whose sum is σ = 232413272291520. Its totient is φ = 170434844236800.

The previous prime is 201101122120937. The next prime is 201101122121071. The reversal of 201101122121011 is 110121221101102.

It is a cyclic number.

It is not a de Polignac number, because 201101122121011 - 2²⁵ = 201101088566579 is a prime.

It is a super-2 number, since 2×201101122121011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101122121071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166272361 + ... + 167477461.

It is an arithmetic number, because the mean of its divisors is an integer number (14525829518220).

Almost surely, 2^{201101122121011} is an apocalyptic number.

201101122121011 is a deficient number, since it is larger than the sum of its proper divisors (31312150170509).

201101122121011 is a wasteful number, since it uses less digits than its factorization.

201101122121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473054.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 201101122121011 its reverse (110121221101102), we get a palindrome (311222343222113).

The spelling of 201101122121011 in words is "two hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, eleven".